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Finding the Fourth Proportional to 302,161.68, 416,982.56 and 173,142

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Solution

The fourth proportional to 302,161.68, 416,982.56 and 173,142 is: 238,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,161.68 : 416,982.56 = 173,142 : x
  2. Step 2: Convert to fraction form
    302,161.68/416,982.56 = 173,142/x
  3. Step 3: Cross multiply
    302,161.68x = 416,982.56 × 173,142
  4. Step 4: Simplify right side
    302,161.68x = 72,197,193,537.81
  5. Step 5: Solve for x
    x = 72,197,193,537.81/302,161.68
  6. Step 6: Final answer
    x = 238,935.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.